Finding the Third Proportional to 11,174 and 17,302

Step by Step Solution

1. Step 1: Write the proportion equation
   11,174 : 17,302 = 17,302 : x
2. Step 2: Convert to fraction form
   11,174/17,302 = 17,302/x
3. Step 3: Cross multiply
   11,174x = 17,302 × 17,302
4. Step 4: Simplify right side
   11,174x = 299,359,204
5. Step 5: Solve for x
   x = 299,359,204/11,174
6. Step 6: Final answer
   x = 26,790.69